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Discover Ludwig"successfully solved" is a perfectly acceptable phrase in written English.
You can use it whenever you are talking about successful problem solving. For example: The team of scientists successfully solved the mystery of the missing dinosaurs.
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Dr. Andrew Cheng, the project scientist, said the mission already had successfully solved many mysteries about the asteroid.
In a status update consisting of nine hundred and fifty words and seventeen emojis, which of your friends claimed to have successfully solved the Malaysia Airlines MH370 mystery?
A new problem, noxious gases from internal-combustion engines, was successfully solved by Clifford Holland for the world's first vehicular tunnel, completed in 1927 under the Hudson River and now bearing his name.
The group had just successfully solved a series of puzzles and escaped from cowboy country.
Here we mention some classes of problems which have been successfully solved by DCA.
(OCP) is then successfully solved for decreasing ε with a non-growth of the cost.
One case of cutaneous superficial infection was successfully solved with antibiotic therapy.
Its solution for single person scenarios can be considered successfully solved.
This system has successfully solved some key analysis issues in titanium ore concentrate production process.
Several study cases were successfully solved by applying the MINLP model.
Finally, the multi-objective optimal regulation of cascade reservoirs is successfully solved by the proposed algorithm.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com